國立高雄大學圖資館 |

Language: English

Back

Methods of Fourier analysis and appr...

Ruzhansky, Michael.

Methods of Fourier analysis and approximation theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Methods of Fourier analysis and approximation theoryedited by Michael Ruzhansky, Sergey Tikhonov.
other author:	Ruzhansky, Michael.
Published:	Cham :Springer International Publishing :2016.
Description:	viii, 258 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Fourier analysis.
Online resource:	http://dx.doi.org/10.1007/978-3-319-27466-9
ISBN:	9783319274669$q(electronic bk.)

Methods of Fourier analysis and approximation theory
Methods of Fourier analysis and approximation theory[electronic resource] /edited by Michael Ruzhansky, Sergey Tikhonov. - Cham :Springer International Publishing :2016. - viii, 258 p. :ill., digital ;24 cm. - Applied and numerical harmonic analysis,2296-5009. - Applied and numerical harmonic analysis..

1. Introduction -- 2. Fourier analysis -- 2.1. Parseval frames -- 2.2. Hyperbolic Hardy classes and logarithmic Bloch spaces -- 2.3. Logan's and Bohman's extremal problems -- 2.4. Weighted estimates for the Hilbert transform -- 2.5. Q-Measures and uniqueness sets for Haar series -- 2.6. O-diagonal estimates for Calderon-Zygmund operators -- 3. Function spaces of radial functions -- 3.1. Potential spaces of radial functions -- 3.2. On Leray's formula -- 4. Approximation theory -- 4.1. Approximation order of Besov classes -- 4.2. Ulyanov inequalities for moduli of smoothness -- 4.3. Approximation order of Besov classes -- 5. Optimization theory and related topics -- 5.1. The Laplace-Borel transform -- 5.2. Optimization control problems -- 2 Michael Ruzhansky and Sergey Tikhonov -- 5.3. Optimization control problems for parabolic equation -- 5.4. Numerical modeling of the linear filtration -- References. .

Different facets of interplay between harmonic analysis and approximation theory are covered in this volume. The topics included are Fourier analysis, function spaces, optimization theory, partial differential equations, and their links to modern developments in the approximation theory. The articles of this collection were originated from two events. The first event took place during the 9th ISAAC Congress in Krakow, Poland, 5th-9th August 2013, at the section "Approximation Theory and Fourier Analysis". The second event was the conference on Fourier Analysis and Approximation Theory in the Centre de Recerca Matematica (CRM), Barcelona, during 4th-8th November 2013, organized by the editors of this volume. All articles selected to be part of this collection were carefully reviewed.

ISBN: 9783319274669$q(electronic bk.)

Standard No.: 10.1007/978-3-319-27466-9doiSubjects--Topical Terms:

184626
Fourier analysis.

LC Class. No.: QA403.5

Dewey Class. No.: 515.2433

Methods of Fourier analysis and approximation theory
LDR:02741nmm a2200325 a 4500 001 484100
003 DE-He213
005 20160922132326.0
006 m d
007 cr nn 008maaau
008 161012s2016 gw s 0 eng d
020 $a 9783319274669$q(electronic bk.)
020 $a 9783319274652$q(paper)
024 7 $a 10.1007/978-3-319-27466-9 $2 doi
035 $a 978-3-319-27466-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA403.5
072 7 $a PBKF $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 515.2433 $2 23
090 $a QA403.5 $b .M592 2016
245 0 0 $a Methods of Fourier analysis and approximation theory $h [electronic resource] / $c edited by Michael Ruzhansky, Sergey Tikhonov.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2016.
300 $a viii, 258 p. : $b ill., digital ; $c 24 cm.
490 1 $a Applied and numerical harmonic analysis, $x 2296-5009
505 0 $a 1. Introduction -- 2. Fourier analysis -- 2.1. Parseval frames -- 2.2. Hyperbolic Hardy classes and logarithmic Bloch spaces -- 2.3. Logan's and Bohman's extremal problems -- 2.4. Weighted estimates for the Hilbert transform -- 2.5. Q-Measures and uniqueness sets for Haar series -- 2.6. O-diagonal estimates for Calderon-Zygmund operators -- 3. Function spaces of radial functions -- 3.1. Potential spaces of radial functions -- 3.2. On Leray's formula -- 4. Approximation theory -- 4.1. Approximation order of Besov classes -- 4.2. Ulyanov inequalities for moduli of smoothness -- 4.3. Approximation order of Besov classes -- 5. Optimization theory and related topics -- 5.1. The Laplace-Borel transform -- 5.2. Optimization control problems -- 2 Michael Ruzhansky and Sergey Tikhonov -- 5.3. Optimization control problems for parabolic equation -- 5.4. Numerical modeling of the linear filtration -- References. .
520 $a Different facets of interplay between harmonic analysis and approximation theory are covered in this volume. The topics included are Fourier analysis, function spaces, optimization theory, partial differential equations, and their links to modern developments in the approximation theory. The articles of this collection were originated from two events. The first event took place during the 9th ISAAC Congress in Krakow, Poland, 5th-9th August 2013, at the section "Approximation Theory and Fourier Analysis". The second event was the conference on Fourier Analysis and Approximation Theory in the Centre de Recerca Matematica (CRM), Barcelona, during 4th-8th November 2013, organized by the editors of this volume. All articles selected to be part of this collection were carefully reviewed.
650 0 $a Fourier analysis. $3 184626
650 0 $a Approximation theory. $3 185327
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Fourier Analysis. $3 273776
650 2 4 $a Abstract Harmonic Analysis. $3 274074
650 2 4 $a Numerical Analysis. $3 275681
700 1 $a Ruzhansky, Michael. $3 456168
700 1 $a Tikhonov, Sergey. $3 684038
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Applied and numerical harmonic analysis. $3 558836
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-27466-9
950 $a Mathematics and Statistics (Springer-11649)